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1. Evaluate the integral - ∫3dx/x2(x2+25)
2. Determine whether the improper integral converges, and if so evaluate it-
-5∫4 dx/(x+5)1/3
3. Calculate the Taylor polynomials T2(x) and T3(x) centred at x = a for the given function and value of a.
f(x) = 3tanx, a = π/4.
4. Use the appropriate limit was and theorems to determine the limit of the sequences or state that the sequence dicerges.
bn = e2-n2
limn→∞ bn =
5. Compute the surface area of revolution of the given curve about the x-axis over the given interval.
y = 13x2, [0, 4].
A sample of a radioactive substance decayed to 91% of its original amount after a year. What is the half-life of the substance?(Round your answers to two decimal places.)
The london eye is 135m at its highest point. at its lowest point it is about 3m off the ground. it takes 30 minutes to revolve entirely. across the river, big ben is about 96m tell. If you were to take a ride on the london eye, for how long were you ..
A mini license plate for a toy car must consist of three numbers followed by a letter. Each number must be a 3,6, or 9. Repetition of digits is NOT permitted. Each letter must be an A, B, or C.
A club consists of 16 men and 19 women. In how many ways can they choose a president, vice president, treasurer, and secretary, along with an advisory committee of six people?
Compute the Initial Value Problem, Let G be a bipartite graph partitioned into vertex sets V and W. Assume all vertices have the same degree. Show G has a perfect matching.
a manger of small firm is considering whether to produce a new product that would require leasing equipment at 20000
What is the temperature of the drink after 30 minutes? When will its temperature be -1°C? How much of the sample remains after 110 years?
Evaluate the integral of.. integral theta sec theta tan theta d theta How is this problem solved ?
Empirical Probability - Coin Toss. Use the empirical method to estimate the probability. You count 42 heads when you toss a coin 100 times
You need cash and FAST! You jump out of your car at a location known to have one ATM, but a history of a line. Usually you can expect to wait 200 seconds from the time you arrive until leaving with the $. Service time averages 35 seconds. SHOW ALL WO..
A coffee company has found that the marginal cost, in dollars per pound, of the coffee it roasts is represented by the function below, where x is the number of pounds of coffee roasted. Find the total cost of roasting 150 lb of coffee, disregardin..
a sales manager for an advertising agency believes that there is a relationship between the number of contacts that a
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